Finite element modelling of fracture propagation in orthotropic materials

Boone, T.J.; Wawrzynek, Paul A.; Ingraffea, Anthony R.

doi:10.1016/0013-7944(87)90196-2

Cited by 62 publications

(17 citation statements)

References 15 publications

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“…Boone et al (1987) used the Finite Element Method (FEM) to simulate crack propagation in unidirectional (UD) fibre-reinforced composites and in rocks. Aliabadi and Sollero (1998) proposed a 2D anisotropic material model suitable for implementation in a Boundary Element Method (BEM) code.…”

Section: Introductionmentioning

confidence: 99%

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

Ghajari

Iannucci

Curtis

2014

Computer Methods in Applied Mechanics and Engineering

170

112

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A new material model for the dynamic fracture analysis of anisotropic materials has been proposed within the framework of the bond-based peridynamic theory. This model enables predicting complex fracture phenomena such as spontaneous crack nucleation and crack branching, curving and arrest, a capability inherited from the bond-based peridynamic theory. An important feature of the model is that the bond properties, i.e. the stiffness constant and critical stretch, are continuous functions of bond orientation in the principal material axes. This facilitates fracture analysis of anisotropic materials with random orientations, such as polycrystalline microstructures. Elastic and fracture behaviour of the model has been verified through simulating uniaxial tension of a composite plate and fracture of a cortical bone compact tension specimen, and making quantitative comparisons to analytical and experimental data. To further demonstrate the capabilities of the proposed model, dynamic fracture of a polycrystalline microstructure (alumina ceramic) has been simulated. The influence of the grain boundary and grain interior fracture energies on the interacting and competing fracture modes of polycrystalline materials, i.e. intergranular and transgranular fracture, has been studied.

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Section: Introductionmentioning

confidence: 99%

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

Ghajari

Iannucci

Curtis

2014

Computer Methods in Applied Mechanics and Engineering

170

112

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“…In general, crack propagation in anisotropic media is considerably more complicated than the isotropic case (Boone et al 1987). In the present work, a simple extrapolation of the maximum tangential stress theory to materials with orthotropic toughness proposed by Buczek and Herakovich (1985) is used.…”

Section: Orthotropic Fracture Propertiesmentioning

confidence: 98%

A methodology for fatigue crack growth and residual strength prediction with applications to aircraft fuselages

Chen

Wawrzynek

Ingraffea

1997

Computational Mechanics

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The FRANC3D/STAGS software system has been developed to model curvilinear crack growth in aircraft fuselages. Simulations of fatigue crack growth have been reported previously . This paper presents two enhancements to this system. One is the generalization of the representation of cracks that allows the system to represent realistic damaged structures more accurately. With this capability, parameters that may affect the trajectory of a fatigue crack are studied. Results are compared with measurements from a full-scale test. The second enhancement is to model stable tearing for residual strength prediction. A stable tearing simulation along a crack path that captures the material nonlinearities inherent at the crack tip is performed. The CTOA (Crack Tip Opening Angle) is used as a crack growth criterion to characterize the fracture process under conditions of general yielding. Residual strength of cracked structures is predicted.

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“…The remeshing scheme, described in [12], uses modern concepts of automatic mesh generation and permits the calculation of stress intensity factors to an arbitrary degree of accuracy. Application of FRANC to deterministic problems in fatigue and brittle fracture is described in [2] and [13].…”

Section: Appendix a Fracture Analysis Code (Franc)mentioning

confidence: 99%

Mixed mode fracture initiation and trajectory prediction under random stresses

et al. 1990

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A method is developed for estimating (i) confidence intervals on the initial direction of crack extension and (ii) the probability of crack initiation in plane stress and plane strain problems. The method accounts for the uncertainty in applied stresses, fracture toughness, and crack geometry. It is based on classical theories of linear fracture mechanics for homogeneous isotropic materials, a computer code for deterministic fracture mechanics analysis (FRANC) and first and second order structural reliability algorithms (FORM/SORM). Several examples are presented to demonstrate the use and generality of the proposed method for probabilistic fracture mechanics analysis.

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Finite element modelling of fracture propagation in orthotropic materials

Cited by 62 publications

References 15 publications

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

A methodology for fatigue crack growth and residual strength prediction with applications to aircraft fuselages

Mixed mode fracture initiation and trajectory prediction under random stresses

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